• 제목/요약/키워드: Residual Life

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A Family of Tests for Trend Change in Mean Residual Life using Censored Data

  • Na, Myung-Hwan;Kim, Jae-Joo
    • International Journal of Reliability and Applications
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    • 제1권1호
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    • pp.39-47
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    • 2000
  • In a resent paper, Na and Kim(2000) develop a family of test statistics for testing whether or not the mean residual life changes its trend based on complete data and show that the new tests perform better than previously known tests. In this paper, we extend their tests to the randomly censored data. The asymptotic normality of the test statistics is established. Monte Carlo simulations are conducted to compare our tests with a previously known test by the power of tests.

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The Estimation of MRLF for Whole Line on LTRC Model

  • Shin, Im-Hee
    • Journal of the Korean Data and Information Science Society
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    • 제10권1호
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    • pp.47-56
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    • 1999
  • In this paper, for whole line ($0,\;{\infty}$), the estimation procedure of mean residual life function using product-limit estimator is studied with asymptotic properties. And also, the small sample properties of proposed estimator of MRLF are investigated through Monte Carlo study and compared with Kaplan-Meier type estimator.

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Somoothing Mean Residual Life with Censored Data

  • Dong-Myung Jeong;Myung-Unn Song;Jae-Kee Song
    • Communications for Statistical Applications and Methods
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    • 제3권2호
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    • pp.129-138
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    • 1996
  • We propose a smoothing estimator of mean residual life function based on Ghorai and Susarla's (1990) smooth estimator of distribution function under random censorship model and provide the asymptotic properties of this estimator. The Monte Carlo simulation is performed to compare the proposed estimator with the other estimators and an exmple is also given using the real data.

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Smooth Nonparametric Estimation of Mean Residual Life

  • Na, Myung-Hwan;Kim, Jae-Joo;Park, Sung-Hyun
    • 품질경영학회지
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    • 제27권1호
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    • pp.91-100
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    • 1999
  • In this paper we propose a smooth nonparametric estimator of mean residual life based on a complete sample. This estimator is constructed using the maximum likelihood estimate of cumulative failure rate in the class of distributions which have piecewise linear failure rate functions between each pair of observations. We derive the asymptotic properties of our estimator. Examples using simulated data are used to illustrate the performance of this estimation.

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A NEW UDB-MRL TEST FOR WITH UNKNOWN

  • Na, Myung-Hwan
    • 품질경영학회지
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    • 제30권4호
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    • pp.78-85
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    • 2002
  • The problem of trend change in the mean residual life is great interest in the reliability and survival analysis. In this paper, a new test statistic for testing whether or not the mean residual life changes its trend is developed. It is assumed that neither the change point nor the proportion at which the trend change occurs is known. The asymptotic null distribution of test statistic is established and asymptotic critical values of the asymptotic null distribution is obtained. Monte Carlo simulation is used to compare the proposed test with previously known tests.

Estimation of Mean Residual Life under Random Censorship Model Using Partial Moment Approximation

  • Park, Byung Gu;Lee, Jae Man;Cha, Young Joon
    • 품질경영학회지
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    • 제22권3호
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    • pp.111-118
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    • 1994
  • In this paper we propose a parametric and a nonparametric small sample estimators for the mean residual life (MRL) under the random censorship model using the partial moment approximation. We also compare the proposed nonparametric estimator with the well-known nonparametric MRL estimator based on Kaplan-Meier estimator of the survival function, and present the efficiency of the nonparametric method relative to the Weibull model for small samples.

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Characterization Results of the NBUCA Class of Life Distributions

  • Ahmad I.A.;Kayid M.
    • International Journal of Reliability and Applications
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    • 제7권1호
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    • pp.79-87
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    • 2006
  • In this paper, some characterization results of the NBUCA class of life distributions are obtained. Behavior of the life distributions of the present class is developed in terms of the monotonicity of the residual life of k-out of-n systems given that the (n-k)th failure has occurred at time $t{\geq}0$. Similar conclusions based on the residual life of parallel system are also presented. Next, we focus upon the aging process of a system with independent but not necessarily identical NBUCA components. Finally, it is proved that if the lifetimes of a series systems with a random number of identical components have the NBUCA property then its units also have the same property.

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음향방출법을 이용한 스테인레스강 피로수명 예측 (Fatigue Life Prediction of Stainless Steel Using Acoustic Emission)

  • 김용환;정창규;양유창;한경섭
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 춘계학술대회논문집A
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    • pp.193-198
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    • 2001
  • The feasibility of the acoustic emission technique in predicting the residual fatigue life of STS304 stainless steel is presented. Acoustic emission was continuously monitored during the fatigue tests. Considerable acoustic emission occurred during the first few cycles. Acoustic Emission increased rapidly at about 90% of the fatigue life, clear and ample warning of impending fatigue failure was observed. Fatigue damage accumulation was evaluated in terms of an AE cumulative counts. The AE cumulative counts may be taken as an indicator of fatigue cumulative damage. Fatigue damages corresponding to 20, 40, 60 and 80% of the total life were induced at a cyclic stress amplitude. The specimens with and without fatigue damage were subjected to tensile tests. In tensile tests, the total cumulative counts were reduced with increasing fatigue damage. It was observed that the residual tensile strength of material did not change significantly with prior cyclic loading damages.

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